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Magnetohydrodynamic viscoelastic boundary layer flow past a stretching plate and heat transfer. (English) Zbl 1134.76742
Summary: The heat transfer from a non-isothermal stretching sheet in the presence of a transverse magnetic field is analyzed using the theory of viscoelastic fluid formulated by K. Walters [Second Order Effects in Elasticity, Plasticity and Fluid Dynamics, Pergamon (1964)] and D. W. Beard and K. Walters [Proc. Camb. Philos. Soc. 60, 667–674 (1964; Zbl 0123.41601)]. By means of the successive approximation, method the governing equations for momentum and energy have been solved. The effects of the coefficient of elastic velocity of fluid \(K_0\), surface mass transfer \(f_\omega 0\), Alfven velocity \(\alpha\), Prandtl number \(P\), and relaxation time parameter \(\tau_0\) on the velocity, and temperature have discussed. Numerical results are given and illustrated graphically for the problem considered.

MSC:
76W05 Magnetohydrodynamics and electrohydrodynamics
76A10 Viscoelastic fluids
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
80A20 Heat and mass transfer, heat flow (MSC2010)
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